2. Sets

Basic Set Concepts and Notation

2. Sets

Basic Set Concepts and Notation: Video e Problemi di Pratica

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Concetto

Basic Set Concepts

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Problema

Determine whether each set is well defined.
The set of all even integers

Yes, well defined

No, not well defined

Not enough information to determine

Problema

Determine whether each set is well defined.
The set of all large cities in the world

Yes, well defined

No, not well defined

Not enough information to determine

Concetto

Roster Method

Durata del video:

Problema

Fill in the blank with ∈ or ∉ to make the statement true.
15 ____ {3,6,9,12,…}

15 ∈ {3,6,9,12,…}

15 ∉ {3,6,9,12,…}

Neither of the above

Problema

Fill in the blank with ∈ or ∉ to make the statement true.
D ____ {A,C,E,G,…}

D ∈ {A,C,E,G,…}

D ∉ {A,C,E,G,…}

Neither of the above.

Esempio

Roster Method Example 1

Durata del video:

Problema

Given the description of a set, write it using the Roster Method.
“The set of letters that can be vowels in the English alphabet.”

$V = {a, e, i, o, u}$

$V = {a, b, c, d, e, i, o, u}$

$V = {a, e, i, o, u, y}$

$V = {a, e, i, o, u, w}$

Problema

Given the description of a set, write it using the Roster Method.
“The set of prime numbers less than 15.”

$P = {1, 2, 3, 5, 7, 11, 13}$

$P = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}$

$P = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}$

$P = {2, 3, 5, 7, 11, 13}$

Problema

Determine if each statement is true or false.
${M, N, P} = {P, N, M}$

True

False

Cannot be determined

Problema

Determine if each statement is true or false.
The set of all even numbers is
$the set 2 comma 4 comma 6 comma 8$

True

False

Cannot be determined

Esempio

Roster Method Example 2

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Basic Set Concepts and Notation: Video e Problemi di Pratica

Basic Set Concepts

Determine whether each set is well defined.The set of all even integers

Determine whether each set is well defined.The set of all large cities in the world

Roster Method

Fill in the blank with ∈ or ∉ to make the statement true.15 ____ {3,6,9,12,…}

Fill in the blank with ∈ or ∉ to make the statement true.D ____ {A,C,E,G,…}

Roster Method Example 1

Given the description of a set, write it using the Roster Method.“The set of letters that can be vowels in the English alphabet.”

Given the description of a set, write it using the Roster Method.“The set of prime numbers less than 15.”

Determine if each statement is true or false.{M,N,P}={P,N,M}\(\left\[\lbrace{M,N,P}\]\right\[\rbrace\)=\(\left\]\lbrace{P,N,M}\[\right\]\rbrace\)

Determine if each statement is true or false.The set of all even numbers is {2,4,6,8}\(\left\)\(\lbrace{2,4,6,8}\[\rbrace\]\right\).

Roster Method Example 2

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Determine whether each set is well defined.
The set of all even integers

Determine whether each set is well defined.
The set of all large cities in the world

Fill in the blank with ∈ or ∉ to make the statement true.
15 ____ {3,6,9,12,…}

Fill in the blank with ∈ or ∉ to make the statement true.
D ____ {A,C,E,G,…}

Given the description of a set, write it using the Roster Method.
“The set of letters that can be vowels in the English alphabet.”

Given the description of a set, write it using the Roster Method.
“The set of prime numbers less than 15.”

Determine if each statement is true or false.
${M, N, P} = {P, N, M}$

Determine if each statement is true or false.
The set of all even numbers is
$the set 2 comma 4 comma 6 comma 8$